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Fundam. Prikl. Mat., 2006, Volume 12, Issue 7, Pages 141–161 (Mi fpm1010)  

This article is cited in 5 scientific papers (total in 5 papers)

On symmetry classification of third order evolutionary systems of divergent type

A. G. Meshkov

Orel State University

Abstract: A symmetry classification is presented for integrable two-field third-order evolutionary systems of divergent type. The list contains thirteen exactly integrable systems. For eleven of them, differential substitutions that relate the systems with the known systems by Drinfeld–Sokolov, Ito, and Hirota–Satsuma are found. The two remaining systems seem to be new.

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English version:
Journal of Mathematical Sciences (New York), 2008, 151:4, 3167–3181

Bibliographic databases:

UDC: 517.957

Citation: A. G. Meshkov, “On symmetry classification of third order evolutionary systems of divergent type”, Fundam. Prikl. Mat., 12:7 (2006), 141–161; J. Math. Sci., 151:4 (2008), 3167–3181

Citation in format AMSBIB
\Bibitem{Mes06}
\by A.~G.~Meshkov
\paper On symmetry classification of third order evolutionary systems of divergent type
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 7
\pages 141--161
\mathnet{http://mi.mathnet.ru/fpm1010}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2314015}
\zmath{https://zbmath.org/?q=an:1149.37319}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 151
\issue 4
\pages 3167--3181
\crossref{https://doi.org/10.1007/s10958-008-9022-6}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49349106581}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. G. Meshkov, “Nonlocal symmetries in two-field divergent evolutionary systems”, Theoret. and Math. Phys., 156:3 (2008), 1268–1279  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    2. Anatoly G.G. Meshkov, Maxim Ju. Balakhnev, “Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions”, SIGMA, 4 (2008), 018, 29 pp.  mathnet  crossref  mathscinet  zmath
    3. A. G. Meshkov, “Vector hyperbolic equations with higher symmetries”, Theoret. and Math. Phys., 161:2 (2009), 1471–1484  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. M. Yu. Balakhnev, “First-Order Differential Substitutions for Equations Integrable on $\mathbb S^n$”, Math. Notes, 89:2 (2011), 184–193  mathnet  crossref  crossref  mathscinet  isi
    5. A. G. Meshkov, V. V. Sokolov, “Integriruemye evolyutsionnye uravneniya s postoyannoi separantoi”, Ufimsk. matem. zhurn., 4:3 (2012), 104–154  mathnet
  • Фундаментальная и прикладная математика
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